Sentence examples for if the hypothesis of from inspiring English sources

If the hypothesis of a cut-point shift is rejected, an index shift exists.

Therefore, the objective was to verify if the hypothesis of unidimensionality could be assumed.

We show by counter-example that these distance estimates are not valid in general if the hypothesis of Lipschitz continuity is replaced by continuity.

I would ask the Author if the hypothesis of spontaneous intracranial hypotension (SIH) syndrome caused by cervical manipulation had been considered in the patient n° 14.

"On pragmatistic principles," James writes, "if the hypothesis of God works satisfactorily in the widest sense of the word, it is true" (143).

"If the hypothesis of oceans on rogue planets is correct, we will certainly have to expand the inventory of places with a high potential for life," he says.

If not, the hypothesis of natural selection is not sustained in a particular case.

Corollary 4.1 If, under the hypothesis of Lemma  4.1, ρ satisfies additionally the Δ 2 condition, then ρ ( T m ( x k ) − x k ) → 0 as k → ∞.

If the hypotheses of Theorem  3.1 are fulfilled, then x ∗ is a local minimizer of (P).

On the other hand, if the hypotheses of Theorem 3.4 hold and, then and are not necessarily comparable.

If T satisfies the hypotheses of Theorem A, set Φ̃ to be the curve guaranteed in the conclusion of Theorem A, and if the hypotheses of Theorem A are not met, set (tilde{Phi } = emptyset ).